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Finding the Fourth Proportional to 257,028.38, 385,634.82 and 114,861.77

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Solution

The fourth proportional to 257,028.38, 385,634.82 and 114,861.77 is: 172,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,028.38 : 385,634.82 = 114,861.77 : x
  2. Step 2: Convert to fraction form
    257,028.38/385,634.82 = 114,861.77/x
  3. Step 3: Cross multiply
    257,028.38x = 385,634.82 × 114,861.77
  4. Step 4: Simplify right side
    257,028.38x = 44,294,697,947.52
  5. Step 5: Solve for x
    x = 44,294,697,947.52/257,028.38
  6. Step 6: Final answer
    x = 172,333.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.